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4072098969 = 328922392
BaseRepresentation
bin1111001010110111…
…0100110010011001
3101111210101001122100
43302231310302121
531314424131334
61512023114013
7202624161441
oct36255646231
911453331570
104072098969
1117aa659254
129578a2909
134cb846723
142a8b61121
1518c767c99
hexf2b74c99

4072098969 has 27 divisors (see below), whose sum is σ = 5973746623. Its totient is φ = 2672998944.

The previous prime is 4072098937. The next prime is 4072099001. The reversal of 4072098969 is 9698902704.

The square root of 4072098969 is 63813.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4072098937) and next prime (4072099001).

It can be written as a sum of positive squares in only one way, i.e., 781929369 + 3290169600 = 27963^2 + 57360^2 .

It is not a de Polignac number, because 4072098969 - 25 = 4072098937 is a prime.

It is a super-2 number, since 2×40720989692 = 33163980026661725922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4072098929) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17037952 + ... + 17038190.

Almost surely, 24072098969 is an apocalyptic number.

4072098969 is the 63813-rd square number.

4072098969 is the 31907-th centered octagonal number.

It is an amenable number.

4072098969 is a deficient number, since it is larger than the sum of its proper divisors (1901647654).

4072098969 is an frugal number, since it uses more digits than its factorization.

4072098969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The cubic root of 4072098969 is about 1596.8818136073.

The spelling of 4072098969 in words is "four billion, seventy-two million, ninety-eight thousand, nine hundred sixty-nine".

Divisors: 1 3 9 89 239 267 717 801 2151 7921 21271 23763 57121 63813 71289 171363 191439 514089 1893119 5083769 5679357 15251307 17038071 45753921 452455441 1357366323 4072098969